Dimensions of Zassenhaus filtration subquotients of some pro-\(p\)-groups

DOI10.1007/s11856-016-1310-0zbMath1359.20021arXiv1405.6980OpenAlexW1960986015MaRDI QIDQ2630139

Nguyễn Duy Tân, Michael Rogelstad, Mináč, Ján

Publication date: 25 July 2016

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.6980

zbMATH Keywords

Galois groupspro-\(p\)-groupsfree pro-\(p\)-groupsZassenhaus filtrationDemushkin groups

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Derived series, central series, and generalizations for groups (20F14) Limits, profinite groups (20E18)

Related Items

THE p-ZASSENHAUS FILTRATION OF A FREE PROFINITE GROUP AND SHUFFLE RELATIONS ⋮ Zassenhaus and lower central filtrations of pro-\(p\) groups considered as modules ⋮ Asymptotic growth patterns for class field towers ⋮ Pro‐p groups of positive rank gradient and Hausdorff dimension

Cites Work

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• Filtrations of free groups as intersections.
• Triple Massey products and Galois theory
• Formally real fields, pythagorean fields, C-fields and W-groups
• On Fox and augmentation quotients of semidirect products.
• Mild pro-2-groups and 2-extensions of \(\mathbb Q\) with restricted ramification
• Quotients of absolute Galois groups which determine the entire Galois cohomology
• Closed subgroups of G(Q) with involutions
• On Lie algebras of free products of groups
• Algèbres connexes et homologie des espaces de lacets
• When are Witt rings group rings? II
• On Galois groups over Pythagorean and semi-real closed fields
• Witt rings and Galois groups
• The kernel unipotent conjecture and the vanishing of Massey products for odd rigid fields
• The Zassenhaus filtration, Massey products, and representations of profinite groups
• On the associated graded ring of a group ring
• On the descending central series of groups with a single defining relation
• Ein Verfahren, jeder endlichen \(p\)-Gruppe einen Lie-Ring mit der Charakteristik \(p\) zuzuordnen
• Galois groups and cohomological functors
• Strongly free sequences and pro-p-groups of cohomological dimension 2
• Kazhdan quotients of Golod-Shafarevich groups
• Mild pro-p-groups and Galois groups of p-extensions of ℚ
• On the Galois group of 2-extensions with restricted ramification
• Euklidische Körper und euklidische Hüllen von Körpern.
• Classification of Demushkin Groups
• A Basis for Free Lie Rings and Higher Commutators in Free Groups
• Sur les groupes nilpotents et les anneaux de Lie

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